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What is the average speed of an object that is still at $t=0$ and accelerates at a rate of $a(t) = 5t$ from $t in [0,1]$ ?

1 Answer

Mar 25, 2017

The average speed is $=2.5ms^-1$

Explanation:

The acceleration is

$a(t)=5t$

The speed is the integral of the acceleration

$v(t)=inta(t)dt$

Let the average speed be $barv$

Then,

$(1-0)barv=int_0^1 5tdt=[5/2t^2]_0^1$

$barv=5/2=2.5ms^-1$

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